Take the first or second Kyunjin highway(Yeongdong highway) and exit at Wolmido then keep following the sign of wolmido for 3.3km(takes about 10min)
Takes about 40min(34.8km) from the National Assembly building in Yeoido, Seoul and it's 18.2km from Bucheon ICTakes approzimately 35min from incheon international airport

Use for subway

Get off at Incheon station(Subway Line No.1) and it takes about 2-3min on foot from Incheon station

Use for bus(Incheon international airport)

In front of Incheon railway station there is a bus stop(bus No.306)
It runs every 15min and takes about 35min